106164036500 has 48 divisors (see below), whose sum is σ = 231894608400. Its totient is φ = 42459689600.

The previous prime is 106164036493. The next prime is 106164036521. The reversal of 106164036500 is 5630461601.

It can be written as a sum of positive squares in 8 ways, for example, as 26593781776 + 79570254724 = 163076^2 + 282082^2 .

It is a super-2 number, since 2×106164036500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6065762 + ... + 6083238.

It is an arithmetic number, because the mean of its divisors is an integer number (4831137675).

Almost surely, 2^106164036500 is an apocalyptic number.

106164036500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106164036500 is an abundant number, since it is smaller than the sum of its proper divisors (125730571900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106164036500 is a wasteful number, since it uses less digits than its factorization.

106164036500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29645 (or 29633 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 106164036500 in words is "one hundred six billion, one hundred sixty-four million, thirty-six thousand, five hundred".